Real and complex analysis, 3rd ed.
Real and complex analysis, 3rd ed.
An irregular sampling theorem for functions bandlimited in a generalized sense
SIAM Journal on Applied Mathematics
Irregular sampling of bandlimited Lp-functions
Journal of Approximation Theory
Convergence behavior of non-equidistant sampling series
Signal Processing
IEEE Transactions on Signal Processing
Upper bounds on the statistical distribution of the crest-factor in OFDM transmission
IEEE Transactions on Information Theory
On the hilbert transform of bounded bandlimited signals
Problems of Information Transmission
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In this paper non-equidistant sampling series are studied for bounded bandlimited signals. We consider sampling patterns that are made of the zeros of sine-type functions and analyze the local and global convergence behavior of the sampling series. It is shown that the series converge locally uniformly for bounded bandlimited signals that vanish at infinity. Moreover, we discuss the influence of oversampling on the global approximation behavior and the convergence speed of the sampling series.